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    Smoothing Out

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    Illustration

    Alternate names
    Definition

    Graph smoothing, also known as smoothing away or smoothing out, is the process of replacing edges e' = v_i v_j and e'' = v_j v_k incident at a vertex v_j of vertex degree 2 by a single new edge e = v_i v_k and removing the vertex v_j. A tree which is smoothed until no vertices of degree two remain is known as a series-reduced tree.

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